How can you use a graph to check a factorization?

1 answer:

5 0

Find where the graph crosses the X axis
ex: graph crosses X axis at x=2 and x=6

factorization should be (x-2) and (x-6) for a quadratic

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The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

Joey makes 20 less dollars than Jeremy. If they make a total of $72, how much does

svetoff [14.1K]

Answer:

Joey makes 52 dollars

Step-by-step explanation:

7 0

2 years ago

I am a factor of 120, and a common multiple of 3, 4, and 10. The sum of my digits is 6.

Galina-37 [17]

Answer:

At first find the lowest common multiple of 3, 4, 10

so it is 60

and 60is a factor of 120 and also the sum of the digits of 60 = 6+0 = 6

.°. 60 is the answer

7 0

3 years ago

9 is what percent of 45? Use the table to find the percent

DedPeter [7]

20% because 9 divided by 45 is 0.2 which is 20%

3 0

3 years ago

Plesse help geomrety

marin [14]

X + number = 114
Make sure x is 50
Then switch it and
X + number = 50
Make sure it’s 14

8 0

3 years ago